And if we're talking about regular ol' utility functions, why are ADT's decisions necessarily invariant under changing time-like uncertainty (normal sleeping beauty problem) to space-like uncertainty (sleeping beauty problem with duplicates)?

They're not necessarily invariant under such changes. All the examples in the paper were, but that's because they all used rather simple utility functions.

Hm, yes, you're right about that.

Anyhow, I'm done here - I think you've gotten enough repetitions of my claim that if you're not using probabilities, you're not doing expected utility :) (okay, that was an oversimplification)